11413472761600 has 432 divisors, whose sum is σ = 35709169480768. Its totient is φ = 3514542981120.

The previous prime is 11413472761597. The next prime is 11413472761609. The reversal of 11413472761600 is 616727431411.

It is a happy number.

11413472761600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11413472761609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21283972 + ... + 21813628.

Almost surely, 2^{11413472761600} is an apocalyptic number.

11413472761600 is a gapful number since it is divisible by the number (10) 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 11413472761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17854584740384).

11413472761600 is an abundant number, since it is smaller than the sum of its proper divisors (24295696719168).

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

11413472761600 is a wasteful number, since it uses less digits than its factorization.

11413472761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529740 (or 529721 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 11413472761600 in words is "eleven trillion, four hundred thirteen billion, four hundred seventy-two million, seven hundred sixty-one thousand, six hundred".