1167901464576 has 384 divisors, whose sum is σ = 3986922401280. Its totient is φ = 295147929600.

The previous prime is 1167901464563. The next prime is 1167901464593. The reversal of 1167901464576 is 6754641097611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17470896 + ... + 17537616.

It is an arithmetic number, because the mean of its divisors is an integer number (10382610420).

Almost surely, 2^{1167901464576} is an apocalyptic number.

1167901464576 is a gapful number since it is divisible by the number (16) 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 1167901464576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993461200640).

1167901464576 is an abundant number, since it is smaller than the sum of its proper divisors (2819020936704).

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

1167901464576 is a wasteful number, since it uses less digits than its factorization.

1167901464576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66801 (or 66781 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 1167901464576 in words is "one trillion, one hundred sixty-seven billion, nine hundred one million, four hundred sixty-four thousand, five hundred seventy-six".