462116337553920 has 640 divisors, whose sum is σ = 1788556823894016. Its totient is φ = 99365127192576.

The previous prime is 462116337553891. The next prime is 462116337553931. The reversal of 462116337553920 is 29355733611264.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1903573987 + ... + 1903816733.

Almost surely, 2^{462116337553920} is an apocalyptic number.

462116337553920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462116337553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894278411947008).

462116337553920 is an abundant number, since it is smaller than the sum of its proper divisors (1326440486340096).

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

462116337553920 is a wasteful number, since it uses less digits than its factorization.

462116337553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244880 (or 244864 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 57.

The spelling of 462116337553920 in words is "four hundred sixty-two trillion, one hundred sixteen billion, three hundred thirty-seven million, five hundred fifty-three thousand, nine hundred twenty".