12638770401735 has 192 divisors, whose sum is σ = 23877837434880. Its totient is φ = 6160599244800.

The previous prime is 12638770401721. The next prime is 12638770401737. The reversal of 12638770401735 is 53710407783621.

12638770401735 is a `hidden beast` number, since 1 + 2 + 63 + 87 + 70 + 401 + 7 + 35 = 666.

It is not a de Polignac number, because 12638770401735 - 2¹⁸ = 12638770139591 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12638770401737) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3008512635 + ... + 3008516835.

It is an arithmetic number, because the mean of its divisors is an integer number (124363736640).

Almost surely, 2^{12638770401735} is an apocalyptic number.

12638770401735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12638770401735 is a deficient number, since it is larger than the sum of its proper divisors (11239067033145).

12638770401735 is a wasteful number, since it uses less digits than its factorization.

12638770401735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 12638770401735 in words is "twelve trillion, six hundred thirty-eight billion, seven hundred seventy million, four hundred one thousand, seven hundred thirty-five".