91638619546000 has 160 divisors (see below), whose sum is σ = 222113477765088. Its totient is φ = 36567642931200.

The previous prime is 91638619545983. The next prime is 91638619546037. The reversal of 91638619546000 is 64591683619.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 35902002781584 + 55736616764416 = 5991828^2 + 7465696^2 .

It is a super-2 number, since 2×91638619546000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792136434 + ... + 1792187566.

Almost surely, 2^{91638619546000} 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 91638619546000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111056738882544).

91638619546000 is an abundant number, since it is smaller than the sum of its proper divisors (130474858219088).

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

91638619546000 is a wasteful number, since it uses less digits than its factorization.

91638619546000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53286 (or 53270 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 58.

The spelling of 91638619546000 in words is "ninety-one trillion, six hundred thirty-eight billion, six hundred nineteen million, five hundred forty-six thousand".