1134656190720 has 1296 divisors, whose sum is σ = 4629669320640. Its totient is φ = 264116256768.

The previous prime is 1134656190677. The next prime is 1134656190751. The reversal of 1134656190720 is 270916564311.

1134656190720 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 6 + 5 + 619 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×1134656190720² (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 143 ways as a sum of consecutive naturals, for example, 2074325487 + ... + 2074326033.

Almost surely, 2^{1134656190720} is an apocalyptic number.

1134656190720 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 1134656190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314834660320).

1134656190720 is an abundant number, since it is smaller than the sum of its proper divisors (3495013129920).

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

1134656190720 is an frugal number, since it uses more digits than its factorization.

1134656190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1134656190720 in words is "one trillion, one hundred thirty-four billion, six hundred fifty-six million, one hundred ninety thousand, seven hundred twenty".