1455905948000 has 384 divisors, whose sum is σ = 4291738214400. Its totient is φ = 474861312000.

The previous prime is 1455905947997. The next prime is 1455905948009. The reversal of 1455905948000 is 8495095541.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 1455905948000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455905948009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51197786 + ... + 51226214.

It is an arithmetic number, because the mean of its divisors is an integer number (11176401600).

Almost surely, 2^{1455905948000} is an apocalyptic number.

1455905948000 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 1455905948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145869107200).

1455905948000 is an abundant number, since it is smaller than the sum of its proper divisors (2835832266400).

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

1455905948000 is a wasteful number, since it uses less digits than its factorization.

1455905948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28551 (or 28533 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 50.

The spelling of 1455905948000 in words is "one trillion, four hundred fifty-five billion, nine hundred five million, nine hundred forty-eight thousand".