45340152000 has 672 divisors, whose sum is σ = 177366850752. Its totient is φ = 10137600000.

The previous prime is 45340151963. The next prime is 45340152043. The reversal of 45340152000 is 25104354.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 37751400 + ... + 37752600.

It is an arithmetic number, because the mean of its divisors is an integer number (263938766).

Almost surely, 2^45340152000 is an apocalyptic number.

45340152000 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 45340152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88683425376).

45340152000 is an abundant number, since it is smaller than the sum of its proper divisors (132026698752).

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

45340152000 is a wasteful number, since it uses less digits than its factorization.

45340152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 45340152000 its reverse (25104354), we get a palindrome (45365256354).

The spelling of 45340152000 in words is "forty-five billion, three hundred forty million, one hundred fifty-two thousand".