46338167715840 has 7680 divisors, whose sum is σ = 244535106816000. Its totient is φ = 8240360325120.

The previous prime is 46338167715781. The next prime is 46338167715863. The reversal of 46338167715840 is 4851776183364.

46338167715840 is a `hidden beast` number, since 4 + 6 + 3 + 38 + 16 + 7 + 7 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a super-2 number, since 2×46338167715840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 691614443487 + ... + 691614443553.

It is an arithmetic number, because the mean of its divisors is an integer number (31840508700).

Almost surely, 2^{46338167715840} is an apocalyptic number.

46338167715840 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 46338167715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122267553408000).

46338167715840 is an abundant number, since it is smaller than the sum of its proper divisors (198196939100160).

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

46338167715840 is a wasteful number, since it uses less digits than its factorization.

46338167715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 46338167715840 in words is "forty-six trillion, three hundred thirty-eight billion, one hundred sixty-seven million, seven hundred fifteen thousand, eight hundred forty".