46381774560 has 768 divisors, whose sum is σ = 176406709248. Its totient is φ = 10115481600.

The previous prime is 46381774547. The next prime is 46381774583. The reversal of 46381774560 is 6547718364.

It is a happy number.

It is a super-2 number, since 2×46381774560² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 235440382 + ... + 235440578.

It is an arithmetic number, because the mean of its divisors is an integer number (229696236).

Almost surely, 2^46381774560 is an apocalyptic number.

46381774560 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 46381774560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88203354624).

46381774560 is an abundant number, since it is smaller than the sum of its proper divisors (130024934688).

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

46381774560 is a wasteful number, since it uses less digits than its factorization.

46381774560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 46381774560 in words is "forty-six billion, three hundred eighty-one million, seven hundred seventy-four thousand, five hundred sixty".