747361979001 has 243 divisors, whose sum is σ = 1337634706863. Its totient is φ = 401681744640.

The previous prime is 747361978973. The next prime is 747361979003. The reversal of 747361979001 is 100979163747.

The square root of 747361979001 is 864501.

It is a perfect power (a square), and thus also a powerful number.

747361979001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 581856212025 + 165505766976 = 762795^2 + 406824^2 .

It is not a de Polignac number, because 747361979001 - 2⁵ = 747361978969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (747361979003) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 11154656370 + ... + 11154656436.

Almost surely, 2^747361979001 is an apocalyptic number.

747361979001 is the 864501-st square number.

747361979001 is the 432251-st centered octagonal number.

It is an amenable number.

747361979001 is a deficient number, since it is larger than the sum of its proper divisors (590272727862).

747361979001 is a wasteful number, since it uses less digits than its factorization.

747361979001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 747361979001 in words is "seven hundred forty-seven billion, three hundred sixty-one million, nine hundred seventy-nine thousand, one".