45242046000 has 240 divisors, whose sum is σ = 162288461088. Its totient is φ = 11738304000.

The previous prime is 45242045999. The next prime is 45242046007. The reversal of 45242046000 is 64024254.

45242046000 is a `hidden beast` number, since 4 + 52 + 4 + 2 + 0 + 4 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×45242046000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45242046007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632035 + ... + 699965.

Almost surely, 2^45242046000 is an apocalyptic number.

45242046000 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 45242046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81144230544).

45242046000 is an abundant number, since it is smaller than the sum of its proper divisors (117046415088).

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

45242046000 is a wasteful number, since it uses less digits than its factorization.

45242046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67997 (or 67978 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 45242046000 in words is "forty-five billion, two hundred forty-two million, forty-six thousand".