46152288000 has 1152 divisors, whose sum is σ = 209991075840. Its totient is φ = 9721036800.

The previous prime is 46152287999. The next prime is 46152288019. The reversal of 46152288000 is 88225164.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78623707 + ... + 78624293.

It is an arithmetic number, because the mean of its divisors is an integer number (182283920).

Almost surely, 2^46152288000 is an apocalyptic number.

46152288000 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 46152288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104995537920).

46152288000 is an abundant number, since it is smaller than the sum of its proper divisors (163838787840).

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

46152288000 is a wasteful number, since it uses less digits than its factorization.

46152288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 46152288000 in words is "forty-six billion, one hundred fifty-two million, two hundred eighty-eight thousand".