46014778080 has 480 divisors, whose sum is σ = 170874240768. Its totient is φ = 11645337600.

The previous prime is 46014778079. The next prime is 46014778093. The reversal of 46014778080 is 8087741064.

46014778080 is a `hidden beast` number, since 460 + 1 + 47 + 78 + 0 + 80 = 666.

46014778080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21292200 + ... + 21294360.

Almost surely, 2^46014778080 is an apocalyptic number.

46014778080 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 46014778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85437120384).

46014778080 is an abundant number, since it is smaller than the sum of its proper divisors (124859462688).

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

46014778080 is a wasteful number, since it uses less digits than its factorization.

46014778080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 46014778080 in words is "forty-six billion, fourteen million, seven hundred seventy-eight thousand, eighty".