1146565020480 has 224 divisors, whose sum is σ = 3973059514368. Its totient is φ = 277830912000.

The previous prime is 1146565020437. The next prime is 1146565020511. The reversal of 1146565020480 is 840205656411.

It is a super-2 number, since 2×1146565020480² (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 31 ways as a sum of consecutive naturals, for example, 24803469 + ... + 24849651.

It is an arithmetic number, because the mean of its divisors is an integer number (17736872832).

Almost surely, 2^{1146565020480} is an apocalyptic number.

1146565020480 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 1146565020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986529757184).

1146565020480 is an abundant number, since it is smaller than the sum of its proper divisors (2826494493888).

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

1146565020480 is a wasteful number, since it uses less digits than its factorization.

1146565020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48565 (or 48555 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 1146565020480 in words is "one trillion, one hundred forty-six billion, five hundred sixty-five million, twenty thousand, four hundred eighty".