6904737465121 has 24 divisors (see below), whose sum is σ = 7266290311800. Its totient is φ = 6553341849600.

The previous prime is 6904737465091. The next prime is 6904737465139. The reversal of 6904737465121 is 1215647374096.

It can be written as a sum of positive squares in 12 ways, for example, as 5679928227600 + 1224809237521 = 2383260^2 + 1106711^2 .

It is not a de Polignac number, because 6904737465121 - 2¹⁷ = 6904737334049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6904737465191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184397761 + ... + 184435201.

It is an arithmetic number, because the mean of its divisors is an integer number (302762096325).

Almost surely, 2^{6904737465121} is an apocalyptic number.

6904737465121 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6904737465121 is a deficient number, since it is larger than the sum of its proper divisors (361552846679).

6904737465121 is a wasteful number, since it uses less digits than its factorization.

6904737465121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39301 (or 39240 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 6904737465121 in words is "six trillion, nine hundred four billion, seven hundred thirty-seven million, four hundred sixty-five thousand, one hundred twenty-one".