1480641177856 has 81 divisors (see below), whose sum is σ = 3008775026761. Its totient is φ = 727208179712.

The previous prime is 1480641177839. The next prime is 1480641177877. The reversal of 1480641177856 is 6587711460841.

The square root of 1480641177856 is 1216816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1201180928256 + 279460249600 = 1095984^2 + 528640^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1480641177856.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1148673660 + ... + 1148674948.

Almost surely, 2^{1480641177856} is an apocalyptic number.

1480641177856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1480641177856 is the 1216816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480641177856

1480641177856 is an abundant number, since it is smaller than the sum of its proper divisors (1528133848905).

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

1480641177856 is an frugal number, since it uses more digits than its factorization.

1480641177856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 58.

The spelling of 1480641177856 in words is "one trillion, four hundred eighty billion, six hundred forty-one million, one hundred seventy-seven thousand, eight hundred fifty-six".