107455146744000 has 1344 divisors, whose sum is σ = 395233210584576. Its totient is φ = 25702476800000.

The previous prime is 107455146743977. The next prime is 107455146744017. The reversal of 107455146744000 is 447641554701.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129933671587 + ... + 129933672413.

It is an arithmetic number, because the mean of its divisors is an integer number (294072329304).

Almost surely, 2^{107455146744000} is an apocalyptic number.

107455146744000 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 107455146744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197616605292288).

107455146744000 is an abundant number, since it is smaller than the sum of its proper divisors (287778063840576).

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

107455146744000 is a wasteful number, since it uses less digits than its factorization.

107455146744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 107455146744000 in words is "one hundred seven trillion, four hundred fifty-five billion, one hundred forty-six million, seven hundred forty-four thousand".