1506045235968 has 864 divisors, whose sum is σ = 5595817920000. Its totient is φ = 391128072192.

The previous prime is 1506045235967. The next prime is 1506045235991. The reversal of 1506045235968 is 8695325406051.

1506045235968 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 0 + 4 + 523 + 59 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1506045235967) 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, 547850658 + ... + 547853406.

Almost surely, 2^{1506045235968} is an apocalyptic number.

1506045235968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506045235968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797908960000).

1506045235968 is an abundant number, since it is smaller than the sum of its proper divisors (4089772684032).

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

1506045235968 is a wasteful number, since it uses less digits than its factorization.

1506045235968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 1506045235968 in words is "one trillion, five hundred six billion, forty-five million, two hundred thirty-five thousand, nine hundred sixty-eight".