1146983753520 has 1280 divisors, whose sum is σ = 4751695872000. Its totient is φ = 251054899200.

The previous prime is 1146983753519. The next prime is 1146983753557. The reversal of 1146983753520 is 253573896411.

It is a happy number.

1146983753520 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 9 + 83 + 7 + 535 + 20 = 666.

It is a super-2 number, since 2×1146983753520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1740490951 + ... + 1740491609.

It is an arithmetic number, because the mean of its divisors is an integer number (3712262400).

It is a 1-persistent number, because it is pandigital, but 2⋅1146983753520 = 2293967507040 is not.

Almost surely, 2^{1146983753520} is an apocalyptic number.

1146983753520 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 1146983753520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375847936000).

1146983753520 is an abundant number, since it is smaller than the sum of its proper divisors (3604712118480).

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

1146983753520 is a wasteful number, since it uses less digits than its factorization.

1146983753520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1146983753520 in words is "one trillion, one hundred forty-six billion, nine hundred eighty-three million, seven hundred fifty-three thousand, five hundred twenty".