46493520480 has 768 divisors, whose sum is σ = 184250142720. Its totient is φ = 10988421120.

The previous prime is 46493520457. The next prime is 46493520503. The reversal of 46493520480 is 8402539464.

46493520480 is a `hidden beast` number, since 4 + 6 + 49 + 3 + 520 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (46493520457) and next prime (46493520503).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180908512 + ... + 180908768.

It is an arithmetic number, because the mean of its divisors is an integer number (239909040).

Almost surely, 2^46493520480 is an apocalyptic number.

46493520480 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 46493520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92125071360).

46493520480 is an abundant number, since it is smaller than the sum of its proper divisors (137756622240).

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

46493520480 is a wasteful number, since it uses less digits than its factorization.

46493520480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 46493520480 in words is "forty-six billion, four hundred ninety-three million, five hundred twenty thousand, four hundred eighty".