98947413792 has 144 divisors (see below), whose sum is σ = 284419175040. Its totient is φ = 32628374016.

The previous prime is 98947413769. The next prime is 98947413827. The reversal of 98947413792 is 29731474989.

98947413792 is a `hidden beast` number, since 9 + 89 + 474 + 13 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×98947413792² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10150873 + ... + 10160615.

It is an arithmetic number, because the mean of its divisors is an integer number (1975133160).

Almost surely, 2^98947413792 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 98947413792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142209587520).

98947413792 is an abundant number, since it is smaller than the sum of its proper divisors (185471761248).

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

98947413792 is a wasteful number, since it uses less digits than its factorization.

98947413792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10135 (or 10124 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 98947413792 in words is "ninety-eight billion, nine hundred forty-seven million, four hundred thirteen thousand, seven hundred ninety-two".