1545146968400 has 90 divisors (see below), whose sum is σ = 4318291661310. Its totient is φ = 529764668160.

The previous prime is 1545146968399. The next prime is 1545146968457. The reversal of 1545146968400 is 48696415451.

It can be written as a sum of positive squares in 3 ways, for example, as 84113920576 + 1461033047824 = 290024^2 + 1208732^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39397415 + ... + 39436614.

It is an arithmetic number, because the mean of its divisors is an integer number (47981018459).

Almost surely, 2^{1545146968400} is an apocalyptic number.

1545146968400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1545146968400 is an abundant number, since it is smaller than the sum of its proper divisors (2773144692910).

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

1545146968400 is a wasteful number, since it uses less digits than its factorization.

1545146968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78834061 (or 78834043 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 53.

The spelling of 1545146968400 in words is "one trillion, five hundred forty-five billion, one hundred forty-six million, nine hundred sixty-eight thousand, four hundred".