91207406348544 has 144 divisors (see below), whose sum is σ = 251464519353600. Its totient is φ = 29313276346368.

The previous prime is 91207406348507. The next prime is 91207406348567. The reversal of 91207406348544 is 44584360470219.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13165752 + ... + 18861384.

It is an arithmetic number, because the mean of its divisors is an integer number (1746281384400).

It is a 1-persistent number, because it is pandigital, but 2⋅91207406348544 = 182414812697088 is not.

Almost surely, 2^{91207406348544} 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 91207406348544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125732259676800).

91207406348544 is an abundant number, since it is smaller than the sum of its proper divisors (160257113005056).

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

91207406348544 is a wasteful number, since it uses less digits than its factorization.

91207406348544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696400 (or 5696386 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 91207406348544 in words is "ninety-one trillion, two hundred seven billion, four hundred six million, three hundred forty-eight thousand, five hundred forty-four".