536148911966976 has 288 divisors, whose sum is σ = 1976710636992000. Its totient is φ = 139259457515520.

The previous prime is 536148911966971. The next prime is 536148911966977. The reversal of 536148911966976 is 679669119841635.

536148911966976 is a `hidden beast` number, since 5 + 3 + 6 + 1 + 489 + 1 + 1 + 9 + 6 + 69 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×536148911966976² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 536148911966895 and 536148911966904.

It is not an unprimeable number, because it can be changed into a prime (536148911966971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503155051 + ... + 504219498.

Almost surely, 2^{536148911966976} is an apocalyptic number.

536148911966976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

536148911966976 is an abundant number, since it is smaller than the sum of its proper divisors (1440561725025024).

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

536148911966976 is a wasteful number, since it uses less digits than its factorization.

536148911966976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007374592 (or 1007374572 counting only the distinct ones).

The product of its digits is 3174474240, while the sum is 81.

The spelling of 536148911966976 in words is "five hundred thirty-six trillion, one hundred forty-eight billion, nine hundred eleven million, nine hundred sixty-six thousand, nine hundred seventy-six".