1134680944320 has 560 divisors, whose sum is σ = 5032228785408. Its totient is φ = 235777443840.

The previous prime is 1134680944259. The next prime is 1134680944337. The reversal of 1134680944320 is 234490864311.

1134680944320 is a `hidden beast` number, since 1 + 13 + 46 + 80 + 94 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

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, 1711579 + ... + 2280101.

Almost surely, 2^{1134680944320} is an apocalyptic number.

1134680944320 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 1134680944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516114392704).

1134680944320 is an abundant number, since it is smaller than the sum of its proper divisors (3897547841088).

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

1134680944320 is a wasteful number, since it uses less digits than its factorization.

1134680944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568570 (or 568551 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1134680944320 in words is "one trillion, one hundred thirty-four billion, six hundred eighty million, nine hundred forty-four thousand, three hundred twenty".