15245354520900 has 243 divisors, whose sum is σ = 55590456319671. Its totient is φ = 3484465044480.

The previous prime is 15245354520889. The next prime is 15245354520937. The reversal of 15245354520900 is 902545354251.

The square root of 15245354520900 is 3904530.

It is a perfect power (a square), and thus also a powerful number.

15245354520900 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 5 + 35 + 4 + 520 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55378326276 + 15189976194624 = 235326^2 + 3897432^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 819942004 + ... + 819960596.

Almost surely, 2^{15245354520900} is an apocalyptic number.

15245354520900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15245354520900 is the 3904530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15245354520900

15245354520900 is an abundant number, since it is smaller than the sum of its proper divisors (40345101798771).

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

15245354520900 is an equidigital number, since it uses as much as digits as its factorization.

15245354520900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37220 (or 18610 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 15245354520900 in words is "fifteen trillion, two hundred forty-five billion, three hundred fifty-four million, five hundred twenty thousand, nine hundred".