1334156791968 has 864 divisors, whose sum is σ = 5209464274560. Its totient is φ = 318370590720.

The previous prime is 1334156791967. The next prime is 1334156791973. The reversal of 1334156791968 is 8691976514331.

It is a happy number.

1334156791968 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 1 + 567 + 9 + 1 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1334156791963) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 462124221 + ... + 462127107.

It is an arithmetic number, because the mean of its divisors is an integer number (6029472540).

Almost surely, 2^{1334156791968} is an apocalyptic number.

1334156791968 is a gapful number since it is divisible by the number (18) 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 1334156791968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604732137280).

1334156791968 is an abundant number, since it is smaller than the sum of its proper divisors (3875307482592).

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

1334156791968 is a wasteful number, since it uses less digits than its factorization.

1334156791968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3152 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 1334156791968 in words is "one trillion, three hundred thirty-four billion, one hundred fifty-six million, seven hundred ninety-one thousand, nine hundred sixty-eight".