46045988352 has 960 divisors, whose sum is σ = 175163788800. Its totient is φ = 11997683712.

The previous prime is 46045988341. The next prime is 46045988383. The reversal of 46045988352 is 25388954064.

46045988352 is a `hidden beast` number, since 4 + 60 + 459 + 8 + 83 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554770903 + ... + 554770985.

It is an arithmetic number, because the mean of its divisors is an integer number (182462280).

Almost surely, 2^46045988352 is an apocalyptic number.

46045988352 is a gapful number since it is divisible by the number (42) 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 46045988352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87581894400).

46045988352 is an abundant number, since it is smaller than the sum of its proper divisors (129117800448).

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

46045988352 is an frugal number, since it uses more digits than its factorization.

46045988352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 46045988352 in words is "forty-six billion, forty-five million, nine hundred eighty-eight thousand, three hundred fifty-two".