152449766909232 has 320 divisors, whose sum is σ = 445522460737536. Its totient is φ = 44569062236160.

The previous prime is 152449766909221. The next prime is 152449766909257. The reversal of 152449766909232 is 232909667944251.

152449766909232 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 2×152449766909232² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1407776593 + ... + 1407884879.

Almost surely, 2^{152449766909232} is an apocalyptic number.

152449766909232 is a gapful number since it is divisible by the number (12) 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 152449766909232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222761230368768).

152449766909232 is an abundant number, since it is smaller than the sum of its proper divisors (293072693828304).

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

152449766909232 is a wasteful number, since it uses less digits than its factorization.

152449766909232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108988 (or 108982 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 69.

The spelling of 152449766909232 in words is "one hundred fifty-two trillion, four hundred forty-nine billion, seven hundred sixty-six million, nine hundred nine thousand, two hundred thirty-two".