45873488453760 has 1024 divisors, whose sum is σ = 194135849280000. Its totient is φ = 10105737707520.

The previous prime is 45873488453729. The next prime is 45873488453783. The reversal of 45873488453760 is 6735488437854.

45873488453760 is a `hidden beast` number, since 4 + 5 + 8 + 7 + 3 + 4 + 8 + 84 + 537 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93464676 + ... + 93954204.

Almost surely, 2^{45873488453760} is an apocalyptic number.

45873488453760 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 45873488453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97067924640000).

45873488453760 is an abundant number, since it is smaller than the sum of its proper divisors (148262360826240).

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

45873488453760 is a wasteful number, since it uses less digits than its factorization.

45873488453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489614 (or 489596 counting only the distinct ones).

The product of its (nonzero) digits is 2167603200, while the sum is 72.

The spelling of 45873488453760 in words is "forty-five trillion, eight hundred seventy-three billion, four hundred eighty-eight million, four hundred fifty-three thousand, seven hundred sixty".