46121886720 has 1056 divisors, whose sum is σ = 208582553088. Its totient is φ = 9144631296.

The previous prime is 46121886719. The next prime is 46121886721. The reversal of 46121886720 is 2768812164.

46121886720 is a `hidden beast` number, since 4 + 612 + 1 + 8 + 8 + 6 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (46121886719) and next prime (46121886721).

It is a super-2 number, since 2×46121886720² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (46121886721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71285437 + ... + 71286083.

Almost surely, 2^46121886720 is an apocalyptic number.

46121886720 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 46121886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104291276544).

46121886720 is an abundant number, since it is smaller than the sum of its proper divisors (162460666368).

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

46121886720 is a wasteful number, since it uses less digits than its factorization.

46121886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 46121886720 in words is "forty-six billion, one hundred twenty-one million, eight hundred eighty-six thousand, seven hundred twenty".