6098400307152 has 30 divisors (see below), whose sum is σ = 17067050860002. Its totient is φ = 2032800102336.

The previous prime is 6098400307121. The next prime is 6098400307177. The reversal of 6098400307152 is 2517030048906.

6098400307152 is a `hidden beast` number, since 6 + 0 + 98 + 400 + 3 + 0 + 7 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3440965640256 + 2657434666896 = 1854984^2 + 1630164^2 .

It is a super-2 number, since 2×6098400307152² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6098400307098 and 6098400307107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21175000923 + ... + 21175001210.

It is a 1-persistent number, because it is pandigital, but 2⋅6098400307152 = 12196800614304 is not.

Almost surely, 2^{6098400307152} is an apocalyptic number.

It is an amenable number.

6098400307152 is an abundant number, since it is smaller than the sum of its proper divisors (10968650552850).

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

6098400307152 is a wasteful number, since it uses less digits than its factorization.

6098400307152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42350002147 (or 42350002138 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 6098400307152 in words is "six trillion, ninety-eight billion, four hundred million, three hundred seven thousand, one hundred fifty-two".