460687949786064 has 240 divisors, whose sum is σ = 1610016036573056. Its totient is φ = 110454653168640.

The previous prime is 460687949785937. The next prime is 460687949786101.

460687949786064 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×460687949786064² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435293179 + ... + 436350234.

Almost surely, 2^{460687949786064} is an apocalyptic number.

460687949786064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460687949786064 is an abundant number, since it is smaller than the sum of its proper divisors (1149328086786992).

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

460687949786064 is a wasteful number, since it uses less digits than its factorization.

460687949786064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871643466 (or 871643449 counting only the distinct ones).

The product of its (nonzero) digits is 21069103104, while the sum is 84.

The spelling of 460687949786064 in words is "four hundred sixty trillion, six hundred eighty-seven billion, nine hundred forty-nine million, seven hundred eighty-six thousand, sixty-four".