193978774416 has 320 divisors, whose sum is σ = 588082360320. Its totient is φ = 53962536960.

The previous prime is 193978774331. The next prime is 193978774421. The reversal of 193978774416 is 614477879391.

It is a super-2 number, since 2×193978774416² (a number of 23 digits) contains 22 as substring.

Its product of digits (64012032) is a multiple of the sum of its prime divisors (648).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1071705846 + ... + 1071706026.

It is an arithmetic number, because the mean of its divisors is an integer number (1837757376).

Almost surely, 2^193978774416 is an apocalyptic number.

193978774416 is a gapful number since it is divisible by the number (16) 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 193978774416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294041180160).

193978774416 is an abundant number, since it is smaller than the sum of its proper divisors (394103585904).

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

193978774416 is a wasteful number, since it uses less digits than its factorization.

193978774416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 66.

The spelling of 193978774416 in words is "one hundred ninety-three billion, nine hundred seventy-eight million, seven hundred seventy-four thousand, four hundred sixteen".