1506364057944 has 96 divisors (see below), whose sum is σ = 4134300206400. Its totient is φ = 495450095040.

The previous prime is 1506364057943. The next prime is 1506364058009. The reversal of 1506364057944 is 4497504636051.

It is a happy number.

1506364057944 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 3 + 64 + 0 + 579 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506364057943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1169599 + ... + 2093009.

It is an arithmetic number, because the mean of its divisors is an integer number (43065627150).

Almost surely, 2^{1506364057944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506364057944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067150103200).

1506364057944 is an abundant number, since it is smaller than the sum of its proper divisors (2627936148456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1506364057944 is a wasteful number, since it uses less digits than its factorization.

1506364057944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923725 (or 923718 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 1506364057944 in words is "one trillion, five hundred six billion, three hundred sixty-four million, fifty-seven thousand, nine hundred forty-four".