45741696000 has 2112 divisors, whose sum is σ = 220170472704. Its totient is φ = 8257536000.

The previous prime is 45741695981. The next prime is 45741696001. The reversal of 45741696000 is 69614754.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45741696001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2690687992 + ... + 2690688008.

Almost surely, 2^45741696000 is an apocalyptic number.

45741696000 is a gapful number since it is divisible by the number (40) 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 45741696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110085236352).

45741696000 is an abundant number, since it is smaller than the sum of its proper divisors (174428776704).

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

45741696000 is a wasteful number, since it uses less digits than its factorization.

45741696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 45741696000 in words is "forty-five billion, seven hundred forty-one million, six hundred ninety-six thousand".