152449749432288 has 576 divisors, whose sum is σ = 570746516820480. Its totient is φ = 37394895974400.

The previous prime is 152449749432203. The next prime is 152449749432289. The reversal of 152449749432288 is 882234947944251.

152449749432288 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 49 + 74 + 9 + 432 + 2 + 88 = 666.

152449749432288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152449749432288² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152449749432289) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132995358 + ... + 134136738.

It is an arithmetic number, because the mean of its divisors is an integer number (990879369480).

Almost surely, 2^{152449749432288} is an apocalyptic number.

152449749432288 is a gapful number since it is divisible by the number (18) 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 152449749432288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285373258410240).

152449749432288 is an abundant number, since it is smaller than the sum of its proper divisors (418296767388192).

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

152449749432288 is a wasteful number, since it uses less digits than its factorization.

152449749432288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141751 (or 1141740 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 152449749432288 in words is "one hundred fifty-two trillion, four hundred forty-nine billion, seven hundred forty-nine million, four hundred thirty-two thousand, two hundred eighty-eight".