46452634065000 has 240 divisors, whose sum is σ = 157770711289620. Its totient is φ = 12343282560000.

The previous prime is 46452634064951. The next prime is 46452634065001. The reversal of 46452634065000 is 56043625464.

It is a happy number.

46452634065000 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 2 + 634 + 0 + 6 + 5 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 983155537764 + 45469478527236 = 991542^2 + 6743106^2 .

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 (46452634065001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10808202 + ... + 14481798.

Almost surely, 2^{46452634065000} is an apocalyptic number.

46452634065000 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 46452634065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78885355644810).

46452634065000 is an abundant number, since it is smaller than the sum of its proper divisors (111318077224620).

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

46452634065000 is a wasteful number, since it uses less digits than its factorization.

46452634065000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673910 (or 3673888 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 46452634065000 in words is "forty-six trillion, four hundred fifty-two billion, six hundred thirty-four million, sixty-five thousand".