83946222360 has 1536 divisors, whose sum is σ = 395359211520. Its totient is φ = 14863564800.

The previous prime is 83946222331. The next prime is 83946222383. The reversal of 83946222360 is 6322264938.

It is a happy number.

83946222360 is a `hidden beast` number, since 8 + 394 + 6 + 22 + 236 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 434954424 + ... + 434954616.

It is an arithmetic number, because the mean of its divisors is an integer number (257395320).

Almost surely, 2^83946222360 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 83946222360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197679605760).

83946222360 is an abundant number, since it is smaller than the sum of its proper divisors (311412989160).

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

83946222360 is a wasteful number, since it uses less digits than its factorization.

83946222360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 83946222360 in words is "eighty-three billion, nine hundred forty-six million, two hundred twenty-two thousand, three hundred sixty".