45342523699200 has 2340 divisors, whose sum is σ = 207900248266128. Its totient is φ = 9564703948800.

The previous prime is 45342523699133. The next prime is 45342523699219. The reversal of 45342523699200 is 299632524354.

It is a happy number.

45342523699200 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 2 + 523 + 6 + 99 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2340).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9812272890 + ... + 9812277510.

Almost surely, 2^{45342523699200} is an apocalyptic number.

45342523699200 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 45342523699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103950124133064).

45342523699200 is an abundant number, since it is smaller than the sum of its proper divisors (162557724566928).

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

45342523699200 is a wasteful number, since it uses less digits than its factorization.

45342523699200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4700 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 45342523699200 in words is "forty-five trillion, three hundred forty-two billion, five hundred twenty-three million, six hundred ninety-nine thousand, two hundred".