45482976000 has 1296 divisors, whose sum is σ = 208397393568. Its totient is φ = 9418752000.

The previous prime is 45482975999. The next prime is 45482976001. The reversal of 45482976000 is 67928454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45482975999) and next prime (45482976001).

It is a super-2 number, since 2×45482976000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45482976001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 155231854 + ... + 155232146.

It is an arithmetic number, because the mean of its divisors is an integer number (160800458).

Almost surely, 2^45482976000 is an apocalyptic number.

45482976000 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 45482976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104198696784).

45482976000 is an abundant number, since it is smaller than the sum of its proper divisors (162914417568).

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

45482976000 is a wasteful number, since it uses less digits than its factorization.

45482976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 45482976000 in words is "forty-five billion, four hundred eighty-two million, nine hundred seventy-six thousand".