83954101296 has 320 divisors, whose sum is σ = 246657990656. Its totient is φ = 24429081600.

The previous prime is 83954101277. The next prime is 83954101307. The reversal of 83954101296 is 69210145938.

It is a super-2 number, since 2×83954101296² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 273465975 + ... + 273466281.

Almost surely, 2^83954101296 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 83954101296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123328995328).

83954101296 is an abundant number, since it is smaller than the sum of its proper divisors (162703889360).

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

83954101296 is a wasteful number, since it uses less digits than its factorization.

83954101296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 83954101296 in words is "eighty-three billion, nine hundred fifty-four million, one hundred one thousand, two hundred ninety-six".