1564031379456 has 2160 divisors, whose sum is σ = 6327270970020. Its totient is φ = 381250437120.

The previous prime is 1564031379359. The next prime is 1564031379461. The reversal of 1564031379456 is 6549731304651.

1564031379456 is a `hidden beast` number, since 1 + 56 + 4 + 0 + 3 + 137 + 9 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1233912185856 + 330119193600 = 1110816^2 + 574560^2 .

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 179 ways as a sum of consecutive naturals, for example, 38147106796 + ... + 38147106836.

Almost surely, 2^{1564031379456} is an apocalyptic number.

1564031379456 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 1564031379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163635485010).

1564031379456 is an abundant number, since it is smaller than the sum of its proper divisors (4763239590564).

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

1564031379456 is a wasteful number, since it uses less digits than its factorization.

1564031379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 1564031379456 in words is "one trillion, five hundred sixty-four billion, thirty-one million, three hundred seventy-nine thousand, four hundred fifty-six".