45771117551334 has 192 divisors, whose sum is σ = 116288917954560. Its totient is φ = 12739606940160.

The previous prime is 45771117551323. The next prime is 45771117551359. The reversal of 45771117551334 is 43315571117754.

45771117551334 is a `hidden beast` number, since 4 + 5 + 7 + 7 + 1 + 117 + 5 + 513 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5672460652 + ... + 5672468720.

It is an arithmetic number, because the mean of its divisors is an integer number (605671447680).

Almost surely, 2^{45771117551334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45771117551334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58144458977280).

45771117551334 is an abundant number, since it is smaller than the sum of its proper divisors (70517800403226).

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

45771117551334 is a wasteful number, since it uses less digits than its factorization.

45771117551334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12475 (or 12472 counting only the distinct ones).

The product of its digits is 6174000, while the sum is 54.

The spelling of 45771117551334 in words is "forty-five trillion, seven hundred seventy-one billion, one hundred seventeen million, five hundred fifty-one thousand, three hundred thirty-four".