84991148928 has 96 divisors (see below), whose sum is σ = 279509608560. Its totient is φ = 24283183104.

The previous prime is 84991148927. The next prime is 84991148951. The reversal of 84991148928 is 82984119948.

84991148928 is a `hidden beast` number, since 8 + 49 + 91 + 1 + 489 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×84991148928² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84991148927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5261725 + ... + 5277852.

Almost surely, 2^84991148928 is an apocalyptic number.

It is an amenable number.

84991148928 is an abundant number, since it is smaller than the sum of its proper divisors (194518459632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84991148928 is a wasteful number, since it uses less digits than its factorization.

84991148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10539604 (or 10539589 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 63.

The spelling of 84991148928 in words is "eighty-four billion, nine hundred ninety-one million, one hundred forty-eight thousand, nine hundred twenty-eight".