38401146331537 has 32 divisors (see below), whose sum is σ = 42031900512000. Its totient is φ = 34793942937600.

The previous prime is 38401146331531. The next prime is 38401146331579. The reversal of 38401146331537 is 73513364110483.

It is not a de Polignac number, because 38401146331537 - 2³ = 38401146331529 is a prime.

It is a super-2 number, since 2×38401146331537² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38401146331531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17936078487 + ... + 17936080627.

It is an arithmetic number, because the mean of its divisors is an integer number (1313496891000).

Almost surely, 2^{38401146331537} is an apocalyptic number.

It is an amenable number.

38401146331537 is a deficient number, since it is larger than the sum of its proper divisors (3630754180463).

38401146331537 is a wasteful number, since it uses less digits than its factorization.

38401146331537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6057.

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 38401146331537 in words is "thirty-eight trillion, four hundred one billion, one hundred forty-six million, three hundred thirty-one thousand, five hundred thirty-seven".