46345541000 has 288 divisors, whose sum is σ = 125926458840. Its totient is φ = 15950880000.

The previous prime is 46345540991. The next prime is 46345541017. The reversal of 46345541000 is 14554364.

It can be written as a sum of positive squares in 4 ways, for example, as 17117535556 + 29228005444 = 130834^2 + 170962^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43680470 + ... + 43681530.

Almost surely, 2^46345541000 is an apocalyptic number.

46345541000 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 46345541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62963229420).

46345541000 is an abundant number, since it is smaller than the sum of its proper divisors (79580917840).

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

46345541000 is a wasteful number, since it uses less digits than its factorization.

46345541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 46345541000 in words is "forty-six billion, three hundred forty-five million, five hundred forty-one thousand".