46998634358025 has 243 divisors, whose sum is σ = 98995302248661. Its totient is φ = 21252439877760.

The previous prime is 46998634357991. The next prime is 46998634358033. The reversal of 46998634358025 is 52085343689964.

The square root of 46998634358025 is 6855555.

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

46998634358025 is a `hidden beast` number, since 4 + 6 + 9 + 9 + 8 + 6 + 34 + 3 + 580 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 172313821449 + 46826320536576 = 415107^2 + 6842976^2 .

It is not a de Polignac number, because 46998634358025 - 2²⁹ = 46998097487113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 78461826676 + ... + 78461827274.

Almost surely, 2^{46998634358025} is an apocalyptic number.

46998634358025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46998634358025 is the 6855555-th square number.

46998634358025 is the 3427778-th centered octagonal number.

It is an amenable number.

46998634358025 is an abundant number, since it is smaller than the sum of its proper divisors (51996667890636).

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

46998634358025 is an equidigital number, since it uses as much as digits as its factorization.

46998634358025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 72.

The spelling of 46998634358025 in words is "forty-six trillion, nine hundred ninety-eight billion, six hundred thirty-four million, three hundred fifty-eight thousand, twenty-five".