115629521998848 has 2112 divisors, whose sum is σ = 399275911372800. Its totient is φ = 29470733107200.

The previous prime is 115629521998789. The next prime is 115629521998853. The reversal of 115629521998848 is 848899125926511.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186800519883 + ... + 186800520501.

It is an arithmetic number, because the mean of its divisors is an integer number (189051094400).

Almost surely, 2^{115629521998848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115629521998848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199637955686400).

115629521998848 is an abundant number, since it is smaller than the sum of its proper divisors (283646389373952).

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

115629521998848 is a wasteful number, since it uses less digits than its factorization.

115629521998848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 751 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 78.

The spelling of 115629521998848 in words is "one hundred fifteen trillion, six hundred twenty-nine billion, five hundred twenty-one million, nine hundred ninety-eight thousand, eight hundred forty-eight".