1461118113792 has 216 divisors, whose sum is σ = 4382101842300. Its totient is φ = 487034892288.

The previous prime is 1461118113781. The next prime is 1461118113803. The reversal of 1461118113792 is 2973118111641.

1461118113792 is a `hidden beast` number, since 1 + 4 + 611 + 18 + 1 + 13 + 7 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1461118113781) and next prime (1461118113803).

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1461118113792² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13382559 + ... + 13491297.

Almost surely, 2^{1461118113792} is an apocalyptic number.

1461118113792 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 1461118113792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191050921150).

1461118113792 is an abundant number, since it is smaller than the sum of its proper divisors (2920983728508).

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

1461118113792 is an frugal number, since it uses more digits than its factorization.

1461118113792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108785 (or 108744 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The spelling of 1461118113792 in words is "one trillion, four hundred sixty-one billion, one hundred eighteen million, one hundred thirteen thousand, seven hundred ninety-two".