84541790904921 has 63 divisors (see below), whose sum is σ = 147452377691151. Its totient is φ = 48308601779424.

The previous prime is 84541790904899. The next prime is 84541790904943. The reversal of 84541790904921 is 12940909714548.

The square root of 84541790904921 is 9194661.

It is a perfect power (a square), and thus also a powerful number.

84541790904921 is a `hidden beast` number, since 8 + 4 + 5 + 417 + 90 + 90 + 49 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (84541790904899) and next prime (84541790904943).

It can be written as a sum of positive squares in only one way, i.e., 35109642264921 + 49432148640000 = 5925339^2 + 7030800^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 84541790904921 - 2⁴¹ = 82342767649369 is a prime.

It is a super-2 number, since 2×84541790904921² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (84541790904121) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1737766605 + ... + 1737815253.

Almost surely, 2^{84541790904921} is an apocalyptic number.

84541790904921 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

84541790904921 is the 9194661-st square number.

84541790904921 is the 4597331-st centered octagonal number.

It is an amenable number.

84541790904921 is a deficient number, since it is larger than the sum of its proper divisors (62910586786230).

84541790904921 is an frugal number, since it uses more digits than its factorization.

84541790904921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97330 (or 48659 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 84541790904921 in words is "eighty-four trillion, five hundred forty-one billion, seven hundred ninety million, nine hundred four thousand, nine hundred twenty-one".