1146353579010 has 48 divisors (see below), whose sum is σ = 3076665096960. Its totient is φ = 295833180960.

The previous prime is 1146353578927. The next prime is 1146353579027. The reversal of 1146353579010 is 109753536411.

1146353579010 is a `hidden beast` number, since 1 + 1 + 4 + 63 + 5 + 3 + 579 + 0 + 10 = 666.

It is a super-3 number, since 3×1146353579010³ (a number of 37 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 205436920 + ... + 205442499.

It is an arithmetic number, because the mean of its divisors is an integer number (64097189520).

Almost surely, 2^{1146353579010} is an apocalyptic number.

1146353579010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1146353579010 is an abundant number, since it is smaller than the sum of its proper divisors (1930311517950).

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

1146353579010 is a wasteful number, since it uses less digits than its factorization.

1146353579010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410879463 (or 410879460 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 1146353579010 in words is "one trillion, one hundred forty-six billion, three hundred fifty-three million, five hundred seventy-nine thousand, ten".