746558735161600 has 54 divisors (see below), whose sum is σ = 1847849519343170. Its totient is φ = 298623494062080.

The previous prime is 746558735161573. The next prime is 746558735161601. The reversal of 746558735161600 is 6161537855647.

It can be written as a sum of positive squares in 3 ways, for example, as 132334285424896 + 614224449736704 = 11503664^2 + 24783552^2 .

It is a super-2 number, since 2×746558735161600² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (746558735161601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58324894785 + ... + 58324907584.

Almost surely, 2^{746558735161600} is an apocalyptic number.

It is an amenable number.

746558735161600 is an abundant number, since it is smaller than the sum of its proper divisors (1101290784181570).

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

746558735161600 is a wasteful number, since it uses less digits than its factorization.

746558735161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116649802395 (or 116649802376 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 64.

The spelling of 746558735161600 in words is "seven hundred forty-six trillion, five hundred fifty-eight billion, seven hundred thirty-five million, one hundred sixty-one thousand, six hundred".