157554004408001 has 2 divisors, whose sum is σ = 157554004408002. Its totient is φ = 157554004408000.

The previous prime is 157554004407979. The next prime is 157554004408027. The reversal of 157554004408001 is 100804400455751.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143079396096400 + 14474608311601 = 11961580^2 + 3804551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-157554004408001 is a prime.

It is not a weakly prime, because it can be changed into another prime (157554004404001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78777002204000 + 78777002204001.

It is an arithmetic number, because the mean of its divisors is an integer number (78777002204001).

Almost surely, 2^{157554004408001} is an apocalyptic number.

It is an amenable number.

157554004408001 is a deficient number, since it is larger than the sum of its proper divisors (1).

157554004408001 is an equidigital number, since it uses as much as digits as its factorization.

157554004408001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448000, while the sum is 44.

The spelling of 157554004408001 in words is "one hundred fifty-seven trillion, five hundred fifty-four billion, four million, four hundred eight thousand, one".