84756094641 has 27 divisors (see below), whose sum is σ = 124847153067. Its totient is φ = 55407671280.

The previous prime is 84756094627. The next prime is 84756094649. The reversal of 84756094641 is 14649065748.

The square root of 84756094641 is 291129.

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., 61100424225 + 23655670416 = 247185^2 + 153804^2 .

It is not a de Polignac number, because 84756094641 - 2⁵ = 84756094609 is a prime.

It is a super-4 number, since 4×84756094641⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (84756094649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46288596 + ... + 46290426.

Almost surely, 2^84756094641 is an apocalyptic number.

84756094641 is the 291129-th square number.

84756094641 is the 145565-th centered octagonal number.

It is an amenable number.

84756094641 is a deficient number, since it is larger than the sum of its proper divisors (40091058426).

84756094641 is an frugal number, since it uses more digits than its factorization.

84756094641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 84756094641 in words is "eighty-four billion, seven hundred fifty-six million, ninety-four thousand, six hundred forty-one".