934404968448 has 1560 divisors, whose sum is σ = 3607739448768. Its totient is φ = 240343842816.

The previous prime is 934404968443. The next prime is 934404968477. The reversal of 934404968448 is 844869404439.

934404968448 is a `hidden beast` number, since 93 + 4 + 4 + 0 + 49 + 68 + 448 = 666.

It is a super-2 number, since 2×934404968448² (a number of 25 digits) contains 22 as substring.

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

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (934404968443) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40626302965 + ... + 40626302987.

Almost surely, 2^934404968448 is an apocalyptic number.

934404968448 is a gapful number since it is divisible by the number (98) 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 934404968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803869724384).

934404968448 is an abundant number, since it is smaller than the sum of its proper divisors (2673334480320).

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

934404968448 is an frugal number, since it uses more digits than its factorization.

934404968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 934404968448 in words is "nine hundred thirty-four billion, four hundred four million, nine hundred sixty-eight thousand, four hundred forty-eight".