45005857961400 has 1536 divisors, whose sum is σ = 186524633088000. Its totient is φ = 9757262592000.

The previous prime is 45005857961387. The next prime is 45005857961423. The reversal of 45005857961400 is 416975850054.

It is a happy number.

45005857961400 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 5 + 8 + 579 + 61 + 4 + 0 + 0 = 666.

45005857961400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25761795327 + ... + 25761797073.

It is an arithmetic number, because the mean of its divisors is an integer number (121435308000).

Almost surely, 2^{45005857961400} is an apocalyptic number.

45005857961400 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 45005857961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93262316544000).

45005857961400 is an abundant number, since it is smaller than the sum of its proper divisors (141518775126600).

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

45005857961400 is a wasteful number, since it uses less digits than its factorization.

45005857961400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 45005857961400 in words is "forty-five trillion, five billion, eight hundred fifty-seven million, nine hundred sixty-one thousand, four hundred".