91016607906 has 448 divisors, whose sum is σ = 256486003200. Its totient is φ = 24141680640.

The previous prime is 91016607823. The next prime is 91016607923. The reversal of 91016607906 is 60970661019.

It is a super-4 number, since 4×91016607906⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 471588546 + ... + 471588738.

It is an arithmetic number, because the mean of its divisors is an integer number (572513400).

Almost surely, 2^91016607906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91016607906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128243001600).

91016607906 is an abundant number, since it is smaller than the sum of its proper divisors (165469395294).

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

91016607906 is a wasteful number, since it uses less digits than its factorization.

91016607906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 91016607906 in words is "ninety-one billion, sixteen million, six hundred seven thousand, nine hundred six".