45548067579840 has 448 divisors, whose sum is σ = 183936022272000. Its totient is φ = 10394104799232.

The previous prime is 45548067579821. The next prime is 45548067579881. The reversal of 45548067579840 is 4897576084554.

45548067579840 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 8 + 0 + 6 + 7 + 579 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36705861 + ... + 37926459.

Almost surely, 2^{45548067579840} is an apocalyptic number.

45548067579840 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 45548067579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91968011136000).

45548067579840 is an abundant number, since it is smaller than the sum of its proper divisors (138387954692160).

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

45548067579840 is a wasteful number, since it uses less digits than its factorization.

45548067579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221249 (or 1221233 counting only the distinct ones).

The product of its (nonzero) digits is 1354752000, while the sum is 72.

The spelling of 45548067579840 in words is "forty-five trillion, five hundred forty-eight billion, sixty-seven million, five hundred seventy-nine thousand, eight hundred forty".