1146600441350 has 192 divisors, whose sum is σ = 2769482741760. Its totient is φ = 342972403200.

The previous prime is 1146600441347. The next prime is 1146600441449. The reversal of 1146600441350 is 531440066411.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1146600441350.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37244564 + ... + 37275336.

It is an arithmetic number, because the mean of its divisors is an integer number (14424389280).

Almost surely, 2^{1146600441350} is an apocalyptic number.

1146600441350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1146600441350 is an abundant number, since it is smaller than the sum of its proper divisors (1622882300410).

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

1146600441350 is a wasteful number, since it uses less digits than its factorization.

1146600441350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31255 (or 31250 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 1146600441350 in words is "one trillion, one hundred forty-six billion, six hundred million, four hundred forty-one thousand, three hundred fifty".