46852525440 has 320 divisors, whose sum is σ = 191222998560. Its totient is φ = 10709065728.

The previous prime is 46852525417. The next prime is 46852525451. The reversal of 46852525440 is 4452525864.

46852525440 is a `hidden beast` number, since 4 + 6 + 8 + 52 + 52 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 298324 + ... + 427436.

Almost surely, 2^46852525440 is an apocalyptic number.

46852525440 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 46852525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95611499280).

46852525440 is an abundant number, since it is smaller than the sum of its proper divisors (144370473120).

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

46852525440 is a wasteful number, since it uses less digits than its factorization.

46852525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129151 (or 129130 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

It can be divided in two parts, 4685 and 2525440, that added together give a triangular number (2530125 = T₂₂₄₉).

The spelling of 46852525440 in words is "forty-six billion, eight hundred fifty-two million, five hundred twenty-five thousand, four hundred forty".