15145948289052 has 288 divisors, whose sum is σ = 47469425203200. Its totient is φ = 3975610761216.

The previous prime is 15145948289047. The next prime is 15145948289053. The reversal of 15145948289052 is 25098284954151.

15145948289052 is a `hidden beast` number, since 1 + 5 + 1 + 459 + 48 + 2 + 8 + 90 + 52 = 666.

It is a super-2 number, since 2×15145948289052² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15145948289053) 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, 24220188 + ... + 24837660.

Almost surely, 2^{15145948289052} is an apocalyptic number.

15145948289052 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 15145948289052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23734712601600).

15145948289052 is an abundant number, since it is smaller than the sum of its proper divisors (32323476914148).

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

15145948289052 is a wasteful number, since it uses less digits than its factorization.

15145948289052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617665 (or 617660 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 15145948289052 in words is "fifteen trillion, one hundred forty-five billion, nine hundred forty-eight million, two hundred eighty-nine thousand, fifty-two".