45001235203452 has 288 divisors, whose sum is σ = 131619154080960. Its totient is φ = 12812605194240.

The previous prime is 45001235203433. The next prime is 45001235203501. The reversal of 45001235203452 is 25430253210054.

45001235203452 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 123 + 520 + 3 + 4 + 5 + 2 = 666.

It is a super-2 number, since 2×45001235203452² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15469656574 + ... + 15469659482.

It is an arithmetic number, because the mean of its divisors is an integer number (457010951670).

Almost surely, 2^{45001235203452} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45001235203452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65809577040480).

45001235203452 is an abundant number, since it is smaller than the sum of its proper divisors (86617918877508).

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

45001235203452 is a wasteful number, since it uses less digits than its factorization.

45001235203452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6093 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 45001235203452 in words is "forty-five trillion, one billion, two hundred thirty-five million, two hundred three thousand, four hundred fifty-two".