1152746204064 has 432 divisors, whose sum is σ = 3841032998880. Its totient is φ = 301672949760.

The previous prime is 1152746204021. The next prime is 1152746204083. The reversal of 1152746204064 is 4604026472511.

It is a super-2 number, since 2×1152746204064² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104136322 + ... + 104147390.

It is an arithmetic number, because the mean of its divisors is an integer number (8891280090).

Almost surely, 2^{1152746204064} is an apocalyptic number.

1152746204064 is a gapful number since it is divisible by the number (14) 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 1152746204064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920516499440).

1152746204064 is an abundant number, since it is smaller than the sum of its proper divisors (2688286794816).

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

1152746204064 is a wasteful number, since it uses less digits than its factorization.

1152746204064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11253 (or 11225 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 1152746204064 in words is "one trillion, one hundred fifty-two billion, seven hundred forty-six million, two hundred four thousand, sixty-four".