1332738178464 has 768 divisors, whose sum is σ = 4836851712000. Its totient is φ = 317316787200.

The previous prime is 1332738178397. The next prime is 1332738178487. The reversal of 1332738178464 is 4648718372331.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213337389 + ... + 213343635.

It is an arithmetic number, because the mean of its divisors is an integer number (6297984000).

Almost surely, 2^{1332738178464} is an apocalyptic number.

1332738178464 is a gapful number since it is divisible by the number (14) 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 1332738178464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418425856000).

1332738178464 is an abundant number, since it is smaller than the sum of its proper divisors (3504113533536).

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

1332738178464 is a wasteful number, since it uses less digits than its factorization.

1332738178464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6342 (or 6320 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The spelling of 1332738178464 in words is "one trillion, three hundred thirty-two billion, seven hundred thirty-eight million, one hundred seventy-eight thousand, four hundred sixty-four".