45671987656152 has 1536 divisors, whose sum is σ = 165660235776000. Its totient is φ = 11456716723200.

The previous prime is 45671987656103. The next prime is 45671987656153. The reversal of 45671987656152 is 25165678917654.

45671987656152 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 1 + 9 + 8 + 7 + 6 + 561 + 52 = 666.

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

Its product of digits (762048000) is a multiple of the sum of its prime factors (1890).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45671987656153) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26507246763 + ... + 26507248485.

It is an arithmetic number, because the mean of its divisors is an integer number (107851716000).

Almost surely, 2^{45671987656152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45671987656152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82830117888000).

45671987656152 is an abundant number, since it is smaller than the sum of its proper divisors (119988248119848).

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

45671987656152 is a wasteful number, since it uses less digits than its factorization.

45671987656152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1849 counting only the distinct ones).

The product of its digits is 762048000, while the sum is 72.

The spelling of 45671987656152 in words is "forty-five trillion, six hundred seventy-one billion, nine hundred eighty-seven million, six hundred fifty-six thousand, one hundred fifty-two".