463238139456 has 441 divisors, whose sum is σ = 1451348266081. Its totient is φ = 146621021184.

The previous prime is 463238139437. The next prime is 463238139473. The reversal of 463238139456 is 654931832364.

The square root of 463238139456 is 680616.

It is a perfect power (a square), and thus also a powerful number.

463238139456 is a `hidden beast` number, since 4 + 63 + 23 + 81 + 39 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 272108289600 + 191129849856 = 521640^2 + 437184^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3381300220 + ... + 3381300356.

Almost surely, 2^463238139456 is an apocalyptic number.

463238139456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

463238139456 is the 680616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463238139456

463238139456 is an abundant number, since it is smaller than the sum of its proper divisors (988110126625).

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

463238139456 is an frugal number, since it uses more digits than its factorization.

463238139456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 165 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 463238139456 in words is "four hundred sixty-three billion, two hundred thirty-eight million, one hundred thirty-nine thousand, four hundred fifty-six".