74451512703841 has 27 divisors (see below), whose sum is σ = 93782383707411. Its totient is φ = 58906070115984.

The previous prime is 74451512703769. The next prime is 74451512703859. The reversal of 74451512703841 is 14830721515447.

The square root of 74451512703841 is 8628529.

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

It can be written as a sum of positive squares in only one way, i.e., 11013537382225 + 63437975321616 = 3318665^2 + 7964796^2 .

It is not a de Polignac number, because 74451512703841 - 2⁹ = 74451512703329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (74451512704841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 785148730 + ... + 785243548.

It is an arithmetic number, because the mean of its divisors is an integer number (3473421618793).

Almost surely, 2^{74451512703841} is an apocalyptic number.

74451512703841 is the 8628529-th square number.

74451512703841 is the 4314265-th centered octagonal number.

It is an amenable number.

74451512703841 is a deficient number, since it is larger than the sum of its proper divisors (19330871003570).

74451512703841 is an frugal number, since it uses more digits than its factorization.

74451512703841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189678 (or 94839 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 52.

The spelling of 74451512703841 in words is "seventy-four trillion, four hundred fifty-one billion, five hundred twelve million, seven hundred three thousand, eight hundred forty-one".