15333381672 has 128 divisors (see below), whose sum is σ = 46383667200. Its totient is φ = 4126249728.

The previous prime is 15333381667. The next prime is 15333381673. The reversal of 15333381672 is 27618333351.

It is a super-2 number, since 2×15333381672² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (15333381673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538333 + ... + 566099.

It is an arithmetic number, because the mean of its divisors is an integer number (362372400).

Almost surely, 2^15333381672 is an apocalyptic number.

15333381672 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 15333381672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23191833600).

15333381672 is an abundant number, since it is smaller than the sum of its proper divisors (31050285528).

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

15333381672 is a wasteful number, since it uses less digits than its factorization.

15333381672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27975 (or 27971 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The spelling of 15333381672 in words is "fifteen billion, three hundred thirty-three million, three hundred eighty-one thousand, six hundred seventy-two".