444515143135031 has 96 divisors (see below), whose sum is σ = 492526821556224. Its totient is φ = 400178257529600.

The previous prime is 444515143135013. The next prime is 444515143135079. The reversal of 444515143135031 is 130531341515444.

It is not a de Polignac number, because 444515143135031 - 2²² = 444515138940727 is a prime.

It is a super-2 number, since 2×444515143135031² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444515143135331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70434974366 + ... + 70434980676.

It is an arithmetic number, because the mean of its divisors is an integer number (5130487724544).

Almost surely, 2^{444515143135031} is an apocalyptic number.

444515143135031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

444515143135031 is a deficient number, since it is larger than the sum of its proper divisors (48011678421193).

444515143135031 is a wasteful number, since it uses less digits than its factorization.

444515143135031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 444515143135031 in words is "four hundred forty-four trillion, five hundred fifteen billion, one hundred forty-three million, one hundred thirty-five thousand, thirty-one".