1074578502816 has 384 divisors, whose sum is σ = 3951557568000. Its totient is φ = 276492165120.

The previous prime is 1074578502797. The next prime is 1074578502887. The reversal of 1074578502816 is 6182058754701.

1074578502816 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 57 + 8 + 502 + 81 + 6 = 666.

It is a super-2 number, since 2×1074578502816² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3056910 + ... + 3390258.

It is an arithmetic number, because the mean of its divisors is an integer number (10290514500).

Almost surely, 2^{1074578502816} is an apocalyptic number.

1074578502816 is a gapful number since it is divisible by the number (16) 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 1074578502816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975778784000).

1074578502816 is an abundant number, since it is smaller than the sum of its proper divisors (2876979065184).

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

1074578502816 is a wasteful number, since it uses less digits than its factorization.

1074578502816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333429 (or 333415 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 1074578502816 in words is "one trillion, seventy-four billion, five hundred seventy-eight million, five hundred two thousand, eight hundred sixteen".