1913990456448 has 1152 divisors, whose sum is σ = 6889959648000. Its totient is φ = 518074195968.

The previous prime is 1913990456359. The next prime is 1913990456461. The reversal of 1913990456448 is 8446540993191.

1913990456448 is a `hidden beast` number, since 1 + 9 + 139 + 9 + 0 + 4 + 56 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17559545418 + ... + 17559545526.

It is an arithmetic number, because the mean of its divisors is an integer number (5980867750).

Almost surely, 2^{1913990456448} is an apocalyptic number.

1913990456448 is a gapful number since it is divisible by the number (18) 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 1913990456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444979824000).

1913990456448 is an abundant number, since it is smaller than the sum of its proper divisors (4975969191552).

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

1913990456448 is an equidigital number, since it uses as much as digits as its factorization.

1913990456448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 1913990456448 in words is "one trillion, nine hundred thirteen billion, nine hundred ninety million, four hundred fifty-six thousand, four hundred forty-eight".