15415863100416 has 165 divisors, whose sum is σ = 46038158066901. Its totient is φ = 5138244108288.

The previous prime is 15415863100411. The next prime is 15415863100439. The reversal of 15415863100416 is 61400136851451.

The square root of 15415863100416 is 3926304.

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

15415863100416 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 5 + 8 + 631 + 0 + 0 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10883664921600 + 4532198178816 = 3299040^2 + 2128896^2 .

It is not an unprimeable number, because it can be changed into a prime (15415863100411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1130768736 + ... + 1130782368.

Almost surely, 2^{15415863100416} is an apocalyptic number.

15415863100416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15415863100416 is the 3926304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15415863100416

15415863100416 is an abundant number, since it is smaller than the sum of its proper divisors (30622294966485).

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

15415863100416 is an frugal number, since it uses more digits than its factorization.

15415863100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27298 (or 13638 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

Adding to 15415863100416 its reverse (61400136851451), we get a palindrome (76815999951867).

The spelling of 15415863100416 in words is "fifteen trillion, four hundred fifteen billion, eight hundred sixty-three million, one hundred thousand, four hundred sixteen".