84628834368435 has 192 divisors, whose sum is σ = 182865790771200. Its totient is φ = 36369440446464.

The previous prime is 84628834368427. The next prime is 84628834368443. The reversal of 84628834368435 is 53486343882648.

84628834368435 is a `hidden beast` number, since 8 + 4 + 6 + 2 + 8 + 83 + 436 + 84 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (84628834368427) and next prime (84628834368443).

It is not a de Polignac number, because 84628834368435 - 2³ = 84628834368427 is a prime.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 235510081 + ... + 235869149.

It is an arithmetic number, because the mean of its divisors is an integer number (952425993600).

Almost surely, 2^{84628834368435} is an apocalyptic number.

84628834368435 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

84628834368435 is an abundant number, since it is smaller than the sum of its proper divisors (98236956402765).

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

84628834368435 is a wasteful number, since it uses less digits than its factorization.

84628834368435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359987 (or 359964 counting only the distinct ones).

The product of its digits is 2548039680, while the sum is 72.

The spelling of 84628834368435 in words is "eighty-four trillion, six hundred twenty-eight billion, eight hundred thirty-four million, three hundred sixty-eight thousand, four hundred thirty-five".