463113045360 has 360 divisors, whose sum is σ = 1834006477680. Its totient is φ = 104403769344.

The previous prime is 463113045359. The next prime is 463113045427. The reversal of 463113045360 is 63540311364.

463113045360 is a `hidden beast` number, since 4 + 6 + 3 + 113 + 0 + 4 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×463113045360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2485531 + ... + 2665349.

It is an arithmetic number, because the mean of its divisors is an integer number (5094462438).

Almost surely, 2^463113045360 is an apocalyptic number.

463113045360 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 463113045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917003238840).

463113045360 is an abundant number, since it is smaller than the sum of its proper divisors (1370893432320).

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

463113045360 is a wasteful number, since it uses less digits than its factorization.

463113045360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179925 (or 179909 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 463113045360 in words is "four hundred sixty-three billion, one hundred thirteen million, forty-five thousand, three hundred sixty".