948771454400 has 1008 divisors, whose sum is σ = 3116592192000. Its totient is φ = 277668864000.

The previous prime is 948771454387. The next prime is 948771454429. The reversal of 948771454400 is 4454177849.

It is a Cunningham number, because it is equal to 974049²-1.

It is a congruent number.

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, 1901345351 + ... + 1901345849.

Almost surely, 2^948771454400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948771454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558296096000).

948771454400 is an abundant number, since it is smaller than the sum of its proper divisors (2167820737600).

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

948771454400 is a wasteful number, since it uses less digits than its factorization.

948771454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 948771454400 in words is "nine hundred forty-eight billion, seven hundred seventy-one million, four hundred fifty-four thousand, four hundred".