46445633654464 has 28 divisors (see below), whose sum is σ = 100544241037608. Its totient is φ = 21111651660800.

The previous prime is 46445633654449. The next prime is 46445633654527.

46445633654464 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×46445633654464³ (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 46445633654396 and 46445633654405.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32986955017 + ... + 32986956424.

Almost surely, 2^{46445633654464} is an apocalyptic number.

46445633654464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46445633654464 is an abundant number, since it is smaller than the sum of its proper divisors (54098607383144).

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

46445633654464 is a wasteful number, since it uses less digits than its factorization.

46445633654464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65973911464 (or 65973911454 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 64.

The spelling of 46445633654464 in words is "forty-six trillion, four hundred forty-five billion, six hundred thirty-three million, six hundred fifty-four thousand, four hundred sixty-four".