463148457408 has 168 divisors, whose sum is σ = 1633885020768. Its totient is φ = 122149029888.

The previous prime is 463148457371. The next prime is 463148457461. The reversal of 463148457408 is 804754841364.

463148457408 is a `hidden beast` number, since 4 + 6 + 3 + 148 + 457 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4365591 + ... + 4470422.

It is an arithmetic number, because the mean of its divisors is an integer number (9725506076).

Almost surely, 2^463148457408 is an apocalyptic number.

463148457408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

463148457408 is an abundant number, since it is smaller than the sum of its proper divisors (1170736563360).

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

463148457408 is a wasteful number, since it uses less digits than its factorization.

463148457408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8836051 (or 8836038 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 463148457408 in words is "four hundred sixty-three billion, one hundred forty-eight million, four hundred fifty-seven thousand, four hundred eight".