1332309952512 has 1536 divisors, whose sum is σ = 5313724416000. Its totient is φ = 319380848640.

The previous prime is 1332309952487. The next prime is 1332309952553. The reversal of 1332309952512 is 2152599032331.

1332309952512 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 30 + 99 + 525 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1332309952512² (a number of 25 digits) contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3478615873 + ... + 3478616255.

It is an arithmetic number, because the mean of its divisors is an integer number (3459456000).

Almost surely, 2^{1332309952512} is an apocalyptic number.

1332309952512 is a gapful number since it is divisible by the number (12) 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 1332309952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656862208000).

1332309952512 is an abundant number, since it is smaller than the sum of its proper divisors (3981414463488).

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

1332309952512 is a wasteful number, since it uses less digits than its factorization.

1332309952512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 1332309952512 in words is "one trillion, three hundred thirty-two billion, three hundred nine million, nine hundred fifty-two thousand, five hundred twelve".