456050770560 has 2048 divisors, whose sum is σ = 2131992576000. Its totient is φ = 89367183360.

The previous prime is 456050770547. The next prime is 456050770597. The reversal of 456050770560 is 65077050654.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2045070609 + ... + 2045070831.

It is an arithmetic number, because the mean of its divisors is an integer number (1041012000).

Almost surely, 2^456050770560 is an apocalyptic number.

456050770560 is a gapful number since it is divisible by the number (40) 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 456050770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065996288000).

456050770560 is an abundant number, since it is smaller than the sum of its proper divisors (1675941805440).

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

456050770560 is a wasteful number, since it uses less digits than its factorization.

456050770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 456050770560 in words is "four hundred fifty-six billion, fifty million, seven hundred seventy thousand, five hundred sixty".