100146049794000 has 960 divisors, whose sum is σ = 439079285698560. Its totient is φ = 20742890572800.

The previous prime is 100146049793929. The next prime is 100146049794001. The reversal of 100146049794000 is 497940641001.

100146049794000 is a `hidden beast` number, since 1 + 0 + 0 + 14 + 60 + 497 + 94 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100146049794001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54152607 + ... + 55971393.

It is an arithmetic number, because the mean of its divisors is an integer number (457374255936).

Almost surely, 2^{100146049794000} is an apocalyptic number.

100146049794000 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 100146049794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219539642849280).

100146049794000 is an abundant number, since it is smaller than the sum of its proper divisors (338933235904560).

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

100146049794000 is a wasteful number, since it uses less digits than its factorization.

100146049794000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818865 (or 1818846 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 100146049794000 in words is "one hundred trillion, one hundred forty-six billion, forty-nine million, seven hundred ninety-four thousand".