1331112978360 has 320 divisors, whose sum is σ = 5092957140480. Its totient is φ = 308663688960.

The previous prime is 1331112978331. The next prime is 1331112978427. The reversal of 1331112978360 is 638792111331.

1331112978360 is a `hidden beast` number, since 13 + 311 + 1 + 297 + 8 + 36 + 0 = 666.

It is a super-2 number, since 2×1331112978360² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7789 + ... + 1631651.

It is an arithmetic number, because the mean of its divisors is an integer number (15915491064).

Almost surely, 2^{1331112978360} is an apocalyptic number.

1331112978360 is a gapful number since it is divisible by the number (10) 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 1331112978360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546478570240).

1331112978360 is an abundant number, since it is smaller than the sum of its proper divisors (3761844162120).

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

1331112978360 is a wasteful number, since it uses less digits than its factorization.

1331112978360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623920 (or 1623907 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1331112978360 in words is "one trillion, three hundred thirty-one billion, one hundred twelve million, nine hundred seventy-eight thousand, three hundred sixty".