1146838346400 has 576 divisors, whose sum is σ = 4157301915648. Its totient is φ = 273123164160.

The previous prime is 1146838346363. The next prime is 1146838346429. The reversal of 1146838346400 is 46438386411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1146838346400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119171989 + ... + 119181611.

It is an arithmetic number, because the mean of its divisors is an integer number (7217538048).

Almost surely, 2^{1146838346400} is an apocalyptic number.

1146838346400 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 1146838346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078650957824).

1146838346400 is an abundant number, since it is smaller than the sum of its proper divisors (3010463569248).

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

1146838346400 is a wasteful number, since it uses less digits than its factorization.

1146838346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9813 (or 9800 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 1146838346400 in words is "one trillion, one hundred forty-six billion, eight hundred thirty-eight million, three hundred forty-six thousand, four hundred".