91649376000 has 1296 divisors, whose sum is σ = 409631826240. Its totient is φ = 19265126400.

The previous prime is 91649375963. The next prime is 91649376047. The reversal of 91649376000 is 67394619.

91649376000 is a `hidden beast` number, since 9 + 1 + 6 + 4 + 9 + 37 + 600 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 340703866 + ... + 340704134.

It is an arithmetic number, because the mean of its divisors is an integer number (316073940).

Almost surely, 2^91649376000 is an apocalyptic number.

91649376000 is a gapful number since it is divisible by the number (90) 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 91649376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204815913120).

91649376000 is an abundant number, since it is smaller than the sum of its proper divisors (317982450240).

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

91649376000 is a wasteful number, since it uses less digits than its factorization.

91649376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 91649376000 in words is "ninety-one billion, six hundred forty-nine million, three hundred seventy-six thousand".