46956000065964 has 48 divisors (see below), whose sum is σ = 119526275035776. Its totient is φ = 14228863401600.

The previous prime is 46956000065959. The next prime is 46956000065971.

46956000065964 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46956000065964² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46956000065898 and 46956000065907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5535339 + ... + 11160285.

It is an arithmetic number, because the mean of its divisors is an integer number (2490130729912).

Almost surely, 2^{46956000065964} is an apocalyptic number.

46956000065964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46956000065964 is an abundant number, since it is smaller than the sum of its proper divisors (72570274969812).

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

46956000065964 is a wasteful number, since it uses less digits than its factorization.

46956000065964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688206 (or 5688204 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 60.

The spelling of 46956000065964 in words is "forty-six trillion, nine hundred fifty-six billion, sixty-five thousand, nine hundred sixty-four".