86151944374155 has 192 divisors, whose sum is σ = 169037649930240. Its totient is φ = 40224936960000.

The previous prime is 86151944374103. The next prime is 86151944374231. The reversal of 86151944374155 is 55147344915168.

It is a happy number.

86151944374155 is a `hidden beast` number, since 8 + 6 + 1 + 5 + 194 + 437 + 4 + 1 + 5 + 5 = 666.

It is not a de Polignac number, because 86151944374155 - 2⁸ = 86151944373899 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86151944374092 and 86151944374101.

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, 10391015560 + ... + 10391023850.

It is an arithmetic number, because the mean of its divisors is an integer number (880404426720).

Almost surely, 2^{86151944374155} is an apocalyptic number.

86151944374155 is a deficient number, since it is larger than the sum of its proper divisors (82885705556085).

86151944374155 is a wasteful number, since it uses less digits than its factorization.

86151944374155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14914 (or 14911 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 86151944374155 in words is "eighty-six trillion, one hundred fifty-one billion, nine hundred forty-four million, three hundred seventy-four thousand, one hundred fifty-five".