46694100149664 has 96 divisors (see below), whose sum is σ = 135038833594560. Its totient is φ = 14009630976000.

The previous prime is 46694100149663. The next prime is 46694100149707.

46694100149664 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 46694100149598 and 46694100149607.

It is not an unprimeable number, because it can be changed into a prime (46694100149663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218793829 + ... + 219007140.

It is an arithmetic number, because the mean of its divisors is an integer number (1406654516610).

Almost surely, 2^{46694100149664} is an apocalyptic number.

46694100149664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46694100149664 is an abundant number, since it is smaller than the sum of its proper divisors (88344733444896).

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

46694100149664 is a wasteful number, since it uses less digits than its factorization.

46694100149664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437801094 (or 437801086 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 46694100149664 in words is "forty-six trillion, six hundred ninety-four billion, one hundred million, one hundred forty-nine thousand, six hundred sixty-four".