46460055006464 has 36 divisors (see below), whose sum is σ = 101169409558560. Its totient is φ = 21118206819840.

The previous prime is 46460055006461. The next prime is 46460055006473.

46460055006464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46460055006464² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46460055006461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8249296724 + ... + 8249302355.

Almost surely, 2^{46460055006464} is an apocalyptic number.

46460055006464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46460055006464 is an abundant number, since it is smaller than the sum of its proper divisors (54709354552096).

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

46460055006464 is a wasteful number, since it uses less digits than its factorization.

46460055006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16498599106 (or 16498599092 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 50.

The spelling of 46460055006464 in words is "forty-six trillion, four hundred sixty billion, fifty-five million, six thousand, four hundred sixty-four".