84187602801 has 45 divisors (see below), whose sum is σ = 127401599259. Its totient is φ = 55402592544.

The previous prime is 84187602787. The next prime is 84187602803. The reversal of 84187602801 is 10820678148.

The square root of 84187602801 is 290151.

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

It can be written as a sum of positive squares in only one way, i.e., 537080625 + 83650522176 = 23175^2 + 289224^2 .

It is not a de Polignac number, because 84187602801 - 2¹³ = 84187594609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84187602803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 268969821 + ... + 268970133.

Almost surely, 2^84187602801 is an apocalyptic number.

84187602801 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

84187602801 is the 290151-st square number.

84187602801 is the 145076-th centered octagonal number.

It is an amenable number.

84187602801 is a deficient number, since it is larger than the sum of its proper divisors (43213996458).

84187602801 is an frugal number, since it uses more digits than its factorization.

84187602801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 84187602801 in words is "eighty-four billion, one hundred eighty-seven million, six hundred two thousand, eight hundred one".