45205617840 has 40 divisors (see below), whose sum is σ = 140137416048. Its totient is φ = 12054831360.

The previous prime is 45205617839. The next prime is 45205617901. The reversal of 45205617840 is 4871650254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×45205617840² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45205617792 and 45205617801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94178131 + ... + 94178610.

Almost surely, 2^45205617840 is an apocalyptic number.

45205617840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45205617840 is an abundant number, since it is smaller than the sum of its proper divisors (94931798208).

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

45205617840 is a wasteful number, since it uses less digits than its factorization.

45205617840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188356757 (or 188356751 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 45205617840 in words is "forty-five billion, two hundred five million, six hundred seventeen thousand, eight hundred forty".