46825867146240 has 3564 divisors, whose sum is σ = 212351526817092. Its totient is φ = 9506736046080.

The previous prime is 46825867146239. The next prime is 46825867146259. The reversal of 46825867146240 is 4264176852864.

It is a happy number.

46825867146240 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 586 + 7 + 1 + 4 + 6 + 2 + 40 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 44860846334976 + 1965020811264 = 6697824^2 + 1401792^2 .

It is a super-2 number, since 2×46825867146240² (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 323 ways as a sum of consecutive naturals, for example, 641450234844 + ... + 641450234916.

Almost surely, 2^{46825867146240} is an apocalyptic number.

46825867146240 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 46825867146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106175763408546).

46825867146240 is an abundant number, since it is smaller than the sum of its proper divisors (165525659670852).

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

46825867146240 is a wasteful number, since it uses less digits than its factorization.

46825867146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 46825867146240 in words is "forty-six trillion, eight hundred twenty-five billion, eight hundred sixty-seven million, one hundred forty-six thousand, two hundred forty".