46479514011840 has 2240 divisors, whose sum is σ = 216038509150464. Its totient is φ = 9205048147968.

The previous prime is 46479514011803. The next prime is 46479514011851. The reversal of 46479514011840 is 4811041597464.

46479514011840 is a `hidden beast` number, since 4 + 6 + 4 + 7 + 9 + 51 + 401 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

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 319 ways as a sum of consecutive naturals, for example, 17362536582 + ... + 17362539258.

Almost surely, 2^{46479514011840} is an apocalyptic number.

46479514011840 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 46479514011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108019254575232).

46479514011840 is an abundant number, since it is smaller than the sum of its proper divisors (169558995138624).

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

46479514011840 is a wasteful number, since it uses less digits than its factorization.

46479514011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 46479514011840 in words is "forty-six trillion, four hundred seventy-nine billion, five hundred fourteen million, eleven thousand, eight hundred forty".