46112320157200 has 240 divisors, whose sum is σ = 127248095600640. Its totient is φ = 15881707584000.

The previous prime is 46112320157147. The next prime is 46112320157269. The reversal of 46112320157200 is 275102321164.

It is a super-2 number, since 2×46112320157200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353646417 + ... + 353776783.

It is an arithmetic number, because the mean of its divisors is an integer number (530200398336).

Almost surely, 2^{46112320157200} is an apocalyptic number.

46112320157200 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 46112320157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63624047800320).

46112320157200 is an abundant number, since it is smaller than the sum of its proper divisors (81135775443440).

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

46112320157200 is a wasteful number, since it uses less digits than its factorization.

46112320157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134646 (or 134635 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

Adding to 46112320157200 its reverse (275102321164), we get a palindrome (46387422478364).

The spelling of 46112320157200 in words is "forty-six trillion, one hundred twelve billion, three hundred twenty million, one hundred fifty-seven thousand, two hundred".