1146511345400 has 96 divisors (see below), whose sum is σ = 2679208876800. Its totient is φ = 456273417600.

The previous prime is 1146511345381. The next prime is 1146511345457. The reversal of 1146511345400 is 45431156411.

It is a congruent number.

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, 55963559 + ... + 55984041.

It is an arithmetic number, because the mean of its divisors is an integer number (27908425800).

Almost surely, 2^{1146511345400} is an apocalyptic number.

1146511345400 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 1146511345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339604438400).

1146511345400 is an abundant number, since it is smaller than the sum of its proper divisors (1532697531400).

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

1146511345400 is a wasteful number, since it uses less digits than its factorization.

1146511345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21909 (or 21900 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 1146511345400 in words is "one trillion, one hundred forty-six billion, five hundred eleven million, three hundred forty-five thousand, four hundred".