45610652465840 has 360 divisors, whose sum is σ = 135620621662176. Its totient is φ = 14213313945600.

The previous prime is 45610652465789. The next prime is 45610652465857. The reversal of 45610652465840 is 4856425601654.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3608145920 + ... + 3608158560.

Almost surely, 2^{45610652465840} is an apocalyptic number.

45610652465840 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 45610652465840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67810310831088).

45610652465840 is an abundant number, since it is smaller than the sum of its proper divisors (90009969196336).

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

45610652465840 is a wasteful number, since it uses less digits than its factorization.

45610652465840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20297 (or 20273 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 56.

The spelling of 45610652465840 in words is "forty-five trillion, six hundred ten billion, six hundred fifty-two million, four hundred sixty-five thousand, eight hundred forty".