84349552346928 has 60 divisors (see below), whose sum is σ = 257521739367048. Its totient is φ = 25560470407680.

The previous prime is 84349552346921. The next prime is 84349552346951. The reversal of 84349552346928 is 82964325594348.

84349552346928 is a `hidden beast` number, since 8 + 4 + 3 + 4 + 9 + 5 + 523 + 4 + 6 + 92 + 8 = 666.

It is a super-2 number, since 2×84349552346928² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (84349552346921) 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, 26625488425 + ... + 26625491592.

Almost surely, 2^{84349552346928} is an apocalyptic number.

84349552346928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84349552346928 is an abundant number, since it is smaller than the sum of its proper divisors (173172187020120).

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

84349552346928 is a wasteful number, since it uses less digits than its factorization.

84349552346928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53250980042 (or 53250980033 counting only the distinct ones).

The product of its digits is 1791590400, while the sum is 72.

The spelling of 84349552346928 in words is "eighty-four trillion, three hundred forty-nine billion, five hundred fifty-two million, three hundred forty-six thousand, nine hundred twenty-eight".