1146032770560 has 640 divisors, whose sum is σ = 3920149094400. Its totient is φ = 284797992960.

The previous prime is 1146032770501. The next prime is 1146032770591. The reversal of 1146032770560 is 650772306411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1146032770560² (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 63 ways as a sum of consecutive naturals, for example, 3192291661 + ... + 3192292019.

It is an arithmetic number, because the mean of its divisors is an integer number (6125232960).

Almost surely, 2^{1146032770560} is an apocalyptic number.

1146032770560 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 1146032770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960074547200).

1146032770560 is an abundant number, since it is smaller than the sum of its proper divisors (2774116323840).

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

1146032770560 is a wasteful number, since it uses less digits than its factorization.

1146032770560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 1146032770560 in words is "one trillion, one hundred forty-six billion, thirty-two million, seven hundred seventy thousand, five hundred sixty".