252149435733888 has 1536 divisors, whose sum is σ = 950608535040000. Its totient is φ = 65063815004160.

The previous prime is 252149435733841. The next prime is 252149435733889. The reversal of 252149435733888 is 888337534941252.

It is a happy number.

252149435733888 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 4 + 9 + 43 + 573 + 3 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×252149435733888² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1393459200) is a multiple of the sum of its prime divisors (1728).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252149435733889) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 304160959458 + ... + 304160960286.

It is an arithmetic number, because the mean of its divisors is an integer number (618885765000).

Almost surely, 2^{252149435733888} is an apocalyptic number.

252149435733888 is a gapful number since it is divisible by the number (28) 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 252149435733888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475304267520000).

252149435733888 is an abundant number, since it is smaller than the sum of its proper divisors (698459099306112).

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

252149435733888 is a wasteful number, since it uses less digits than its factorization.

252149435733888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1728 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 252149435733888 in words is "two hundred fifty-two trillion, one hundred forty-nine billion, four hundred thirty-five million, seven hundred thirty-three thousand, eight hundred eighty-eight".