126994061313504 has 768 divisors, whose sum is σ = 479992535285760. Its totient is φ = 31707245905920.

The previous prime is 126994061313499. The next prime is 126994061313517. The reversal of 126994061313504 is 405313160499621.

126994061313504 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 9 + 4 + 0 + 613 + 13 + 5 + 0 + 4 = 666.

It is a super-2 number, since 2×126994061313504² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 203996697 + ... + 204618279.

It is an arithmetic number, because the mean of its divisors is an integer number (624990280320).

Almost surely, 2^{126994061313504} is an apocalyptic number.

126994061313504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126994061313504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239996267642880).

126994061313504 is an abundant number, since it is smaller than the sum of its proper divisors (352998473972256).

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

126994061313504 is a wasteful number, since it uses less digits than its factorization.

126994061313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621740 (or 621726 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 126994061313504 in words is "one hundred twenty-six trillion, nine hundred ninety-four billion, sixty-one million, three hundred thirteen thousand, five hundred four".