46569640000 has 315 divisors, whose sum is σ = 126568464033. Its totient is φ = 16987776000.

The previous prime is 46569639971. The next prime is 46569640001. The reversal of 46569640000 is 4696564.

The square root of 46569640000 is 215800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 45998238784 + 571401216 = 214472^2 + 23904^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46569640001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 561079959 + ... + 561080041.

Almost surely, 2^46569640000 is an apocalyptic number.

46569640000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46569640000 is the 215800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46569640000

46569640000 is an abundant number, since it is smaller than the sum of its proper divisors (79998824033).

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

46569640000 is an frugal number, since it uses more digits than its factorization.

46569640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 46569640000 in words is "forty-six billion, five hundred sixty-nine million, six hundred forty thousand".