45990826368 has 64 divisors (see below), whose sum is σ = 122365009920. Its totient is φ = 15304942080.

The previous prime is 45990826363. The next prime is 45990826369. The reversal of 45990826368 is 86362809954.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×45990826368³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45990826363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134433 + ... + 331743.

It is an arithmetic number, because the mean of its divisors is an integer number (1911953280).

Almost surely, 2^45990826368 is an apocalyptic number.

45990826368 is a gapful number since it is divisible by the number (48) 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 45990826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61182504960).

45990826368 is an abundant number, since it is smaller than the sum of its proper divisors (76374183552).

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

45990826368 is a wasteful number, since it uses less digits than its factorization.

45990826368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197935 (or 197923 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 45990826368 in words is "forty-five billion, nine hundred ninety million, eight hundred twenty-six thousand, three hundred sixty-eight".