46503766540 has 288 divisors, whose sum is σ = 131712134400. Its totient is φ = 13599290880.

The previous prime is 46503766471. The next prime is 46503766571. The reversal of 46503766540 is 4566730564.

46503766540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 22324339 + ... + 22326421.

It is an arithmetic number, because the mean of its divisors is an integer number (457333800).

Almost surely, 2^46503766540 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 46503766540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65856067200).

46503766540 is an abundant number, since it is smaller than the sum of its proper divisors (85208367860).

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

46503766540 is a wasteful number, since it uses less digits than its factorization.

46503766540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 46503766540 in words is "forty-six billion, five hundred three million, seven hundred sixty-six thousand, five hundred forty".